Software controlled transistor body bias. A target frequency is accessed. Using software, transistor body-biasing values are determined for the target frequency in order to enhance a characteristic of a circuit. The bodies of the transistors are biased based on the body-biasing values, wherein the characteristic is enhanced.
|
16. A computer implemented method comprising:
accessing a target frequency at which to operate a circuit;
determining transistor body-biasing values for said target frequency to enhance a power efficiency of said circuit; and
comparing an energy cost of changing a threshold voltage of transistors in said circuit to a predicted energy saving of operating said circuit utilizing said transistor body-biasing values in said circuit.
1. A method comprising:
accessing a target parameter of a circuit;
determining, using software, transistor body-biasing values for said target parameter to enhance a characteristic of said circuit; and
comparing a predicted change in energy usage resulting from changing a threshold voltage of transistors in said circuit to a predicted change in energy usage resulting from operating said circuit utilizing said transistor body-biasing values in said circuit.
9. A system comprising:
means for determining a target frequency for a circuit having transistors;
means for determining body-biasing values for said target frequency to enhance a characteristic of said circuit;
means for comparing an energy cost of changing a threshold voltage of transistors in said circuit to a predicted energy saving of operating said circuit utilizing said body-biasing values for said transistors in said circuit; and
means for biasing bodies of said transistors based on said body-biasing values, wherein said characteristic is enhanced.
22. An article of manufacture including a non-transitory computer readable medium having stored therein instructions that, responsive to execution by a computing device, cause the computing device to perform operations comprising:
accessing a target parameter of a circuit;
determining transistor body-biasing values for said target parameter to enhance a characteristic of said circuit; and
comparing a predicted change in energy usage resulting from changing a threshold voltage of transistors in said circuit to a predicted change in energy usage resulting from operating said circuit utilizing said transistor body-biasing values in said circuit.
4. The method of
5. The method of
6. The method of
7. The method of
applying a plurality of body-biasing voltages to said circuit corresponding to said transistor body-biasing values if said predicted change in energy usage resulting from operating is greater than said predicted change in energy usage resulting from changing.
8. The method of
foregoing application of body-biasing voltages to said circuit if said predicted change in energy usage resulting from operating is less than said predicted change in energy usage resulting from changing.
10. The system of
11. The system of
12. The system of
13. The system of
means for determining a leakage current in a transistor of said transistors in said circuit; and
wherein said means for determining said body-biasing values further comprises means for basing said determining on said leakage current.
14. The system of
15. The system of
17. The computer implemented method of
18. The computer implemented method of
19. The computer implemented method of
20. The computer implemented method of
21. The computer implemented method of
determining a leakage current of at least one transistor of said transistors in said circuit; and
determining said transistor body-biasing values based at least in part on said leakage current.
23. The article of manufacture of
applying a plurality of body-biasing voltages to said circuit corresponding to said transistor body-biasing values if said predicted change in energy usage resulting from operating is greater than said predicted change in energy usage resulting from changing.
24. The article of manufacture of
foregoing application of body-biasing voltages to said circuit if said predicted change in energy usage resulting from operating is less than said predicted change in energy usage resulting from changing.
|
This is a Continuation Application of, and claims benefit to, U.S. patent application Ser. No. 12/033,832, now U.S. Pat. No. 7,996,809, filed Feb. 19, 2008, to Ditzel and Burr, which is hereby incorporated herein by reference in its entirety,
which in turn was a Continuation Application of, and claimed benefit to, U.S. patent application Ser. No. 10/334,638, now U.S. Pat. No. 7,334,198, filed Dec. 31, 2002, to Ditzel and Burr, which is hereby incorporated herein by reference in its entirety.
The present invention relates to the field of electronic circuits. Specifically, embodiments of the present invention relate to a method and system for enhancing circuit performance using software to control transistor body bias.
Modern computer processors are capable of running at extraordinary speeds. However, the increased speed comes at the expense of more power consumption. The power consumption results in considerable heat dissipation when, for example, capacitive loads charge or discharge through resistive elements. Thus, a need exists for reducing power consumption. Some conventional techniques for reducing power consumption involve merely throttling back the operating frequency when the circuit does not need to be run at maximum frequency. However, the extent to which power is conserved is limited with this technique.
Software controlled transistor body bias. In one embodiment, a target frequency is accessed. Using software, transistor body-biasing values are determined for the target frequency in order to enhance a characteristic of a circuit. The bodies of the transistors are biased based on the body-biasing values, wherein the characteristic is enhanced.
In the following detailed description of embodiments of the present invention, a method and system for software controlled body-biasing, numerous specific details are set forth in order to provide a thorough understanding of the present invention. However, it will be recognized by one skilled in the art that the present invention may be practiced without these specific details or with equivalents thereof. In other instances, well-known methods, procedures, components, and circuits have not been described in detail as not to unnecessarily obscure aspects of the present invention.
Notation and Nomenclature
Some portions of the detailed descriptions which follow are presented in terms of procedures, steps, logic blocks, processing, and other symbolic representations of operations on data bits that can be performed on computer memory. These descriptions and representations are the means used by those skilled in the data processing arts to most effectively convey the substance of their work to others skilled in the art. A procedure, computer executed step, logic block, process, etc., is here, and generally, conceived to be a self-consistent sequence of steps or instructions leading to a desired result. The steps are those requiring physical manipulations of physical quantities. Usually, though not necessarily, these quantities take the form of electrical or magnetic signals capable of being stored, transferred, combined, compared, and otherwise manipulated in a computer system. It has proven convenient at times, principally for reasons of common usage, to refer to these signals as bits, values, elements, symbols, characters, terms, numbers, or the like.
It should be borne in mind, however, that all of these and similar terms are to be associated with the appropriate physical quantities and are merely convenient labels applied to these quantities. Unless specifically stated otherwise as apparent from the following discussions, it is appreciated that throughout the present invention, discussions utilizing terms such as “accessing” or “receiving” or “biasing” or “processing” or “computing” or “translating” or “calculating” or “determining” or “applying” or “storing” or “outputting” or “returning” or the like, refer to the action and processes of a computer system, or similar electronic computing device, that manipulates and transforms data represented as physical (electronic) quantities within the computer system's registers and memories into other data similarly represented as physical quantities within the computer system memories or registers or other such information storage, transmission or display devices.
Therefore, it would be advantageous to provide a method and system for managing characteristics of a circuit, such as a processor. It would be further advantageous to provide a method and system that handle variations in transistor operating characteristics due to processing and environmental factors when enhancing characteristics such as power consumption and operating frequency. It would be still further advantageous to provide a method and system that allow the circuit to run at a maximum frequency with minimum power consumption, given the current use of the circuit and transistor characteristics.
Embodiments of the present invention provide a method and system for managing characteristics of a circuit, such as a processor. Embodiments of the present invention provide a method and system that allow the circuit to run at a maximum frequency with minimum power consumption, given the current use of the circuit and transistor characteristics. Embodiments of the present invention provide a method and system that handle variations in transistor operating characteristics due to processing and environmental factors when enhancing characteristics such as power consumption and operating frequency. Embodiments of the present invention are able to predict an optimum body-biasing value to meet future operating conditions. Embodiments of the present invention provide these advantages and others not specifically mentioned above but described in the sections to follow.
A method of enhancing circuit performance is disclosed. The method comprises first receiving a target parameter, for example, a target frequency at which to operate a circuit having transistors. Then, transistor body-biasing values are determined, using software, for the given target parameter in order to enhance a characteristic of a circuit. The characteristic may be power consumption. Then, the body-biasing values are used to bias the body of the transistors. In this fashion, the characteristic is enhanced.
In another embodiment, the method may further comprise determining a supply voltage for the circuit, based on a target frequency in order to enhance the characteristic. In one embodiment, the determination of the body-biasing values comprises comparing changes in power consumption due to changes in threshold voltage of transistors in the circuit versus changes in power consumption due to changes in the supply voltage. In another embodiment, maximum operating frequency is determined for the circuit, based on a target supply voltage.
Yet another embodiment is a system for managing a circuit having transistors. The circuit may be a processor. The system comprises logic for determining a target frequency for the circuit coupled thereto. The system also has computer-implemented logic for determining transistor body-biasing values for the target frequency in order to enhance a characteristic of the circuit. The system further comprises circuitry for biasing bodies of transistors in the processor based on the body-biasing values, wherein the characteristic is enhanced. The logic for determining the target frequency may further be for translating instructions to be executed in the circuit. The logic for determining transistor body-biasing values may comprise a table of the body-biasing values for a range of target frequencies.
Embodiments of the present invention provide for software-controlled methods and systems for controlling threshold voltages of transistors using body-biasing. The body-biasing may be back-biasing or forward-biasing. By controlling threshold voltage in this fashion, a characteristic of the circuit may be enhanced. For example, the power consumed by a processor may be minimized by selecting optimum threshold voltages given other parameters, such as, for example, target operating frequency. Other parameters, such as operating temperature, supply voltage, transistors on and off currents may also be considered. By using software, the transistors may be controlled more accurately and more factors may be taken into consideration than may be possible or practical using hardware-only control. Further, the decision of whether to change the threshold voltage in light of the parameters can be intelligently applied with software-controlled body-biasing.
Embodiments of the present invention contemplate that, given a process (e.g., CMOS technology) for every circuit, there is a supply voltage and transistor threshold voltage that achieves a target performance (e.g., maximum operating frequency) using minimum power. This may depend on activity in the circuit (e.g., switching). Embodiments of the present invention adjust the supply voltage and transistor threshold voltages to achieve the target performance, while using minimum power.
The problem of conserving power is exacerbated by the fact that power consumption is a function of the transistors' operating characteristics, such as the leakage current, which may be a function of threshold voltage. Moreover, low threshold devices may leak too much when their circuits are in a sleep or standby mode (e.g., transistors are off). On the other hand, higher threshold transistors suffer from poor performance (e.g., switch slowly). Thus, there is no one threshold voltage that is ideal for a circuit that may be operated at different frequencies, depending on performance requirements.
Moreover, threshold voltage is not consistent and fully predictable. There are various factors that contribute to the magnitude of a transistor device's threshold voltage. For example, to set a device's threshold voltage near zero, light doping and/or counter doping in the channel region of the device may be provided. However, due to processing variations, the exact dopant concentration in the channel region can vary slightly from device to device. Although these variations may be slight, they can shift a device's threshold voltage by a few tens or even hundreds of millivolts. Further, dimensional variations (such as oxide thickness, and channel width and especially channel length), charge trapping in materials and interfaces, and environmental factors such as operating temperature fluctuations can shift the threshold voltage.
Recently, there have been developments using transistors as four terminal devices in order to control the transistor's characteristics. Typically, metal oxide semiconductor field effect transistors (MOSFETs) and the like are thought of as three terminal devices and are operated as such. However, the body of such transistors may be used as a fourth terminal. For example, by applying a voltage between the body and source, the threshold voltage of the transistor may be altered, as discussed below.
In the exemplary CMOS configuration of
The NFET 101 is made up of an n-region source 103, a gate electrode 104, an n-region drain 105, and a p.sup.− bulk material 106. The NFET 101 may also include a p-well 107 as shown. Similarly, the PFET 102 includes p-region source 108, a gate electrode 109 and a p-region drain 110 formed in an n-well 111. Reference numeral 112 is a p.sup.+ plug which forms a bulk terminal or well tie for the bulk material 106, and reference numeral 113 is an n.sup.+ plug forming a well tie for the n-well 111.
In the body-biased CMOS design of
To aid in understanding some embodiments of the present invention, several principles will be briefly overviewed. A first of these is the effect of threshold voltage (V.sub.t) on performance and power. Decreasing threshold voltage increases performance (e.g., the maximum operating frequency), but increases leakage current. Thus, the threshold voltage should be low enough to allow the circuit to operate at its desired frequency but not so low that the leakage current wastes power when the transistors are inactive. For example, a high V.sub.t may be suitable to conserve power for a digital watch circuit, which does not run very fast. However, a low V.sub.t may be suitable for a digital signal processing circuit, such that it is able to switch rapidly.
A second consideration is the effect steps taken to reduce power consumption have on V.sub.t and hence, the transistors' on current (I.sub.ON) and maximum operating frequency. Thus, embodiments balance the desire to reduce power against the desired maximum operating frequency. For example, to reduce power consumption, the operating frequency and supply voltage may be lowered, as is discussed below. However, dropping the supply voltage increases the effective V.sub.t. Increases in V.sub.t reduce the saturation current (I.sub.ON) sharply, which reduces the maximum frequency at which the circuit may be run. Hence, a balance between the various factors is struck by embodiments of the present invention by using software to control the threshold voltage. It would be very difficult if not impossible to manage the various factors using only hardware.
As stated above, in order to reduce power consumption, in general it is desirable to reduce the operating frequency and the supply voltage.
P=C*V2*f+IOFF*V Equation 1
In equation 1, P is power, C is the effective load capacitance, V is the transistor supply voltage, f is the switching frequency, and I.sub.OFF is the transistor leakage or off current. The first term on the right is the dynamic component and the second term is the static component. Dynamic power consumed by the transistor itself is included as part of the load capacitance. The curve 301 indicates power usage when frequency is varied and other parameters such as supply voltage are kept constant. As Equation 1 indicates, the power usage drops linearly with frequency with a y-intercept given by the static component. Some conventional systems conserve power by simply throttling back the frequency when the circuit does not need to be operated at a high frequency.
However, as curve 302 and Equation 1 indicate, even more power can be conserved by dropping the supply voltage as frequency is dropped. For example, the supply voltage appears to the second power in the dynamic power term. Analysis of the static power component is more complex. While supply voltage appears to the first power in the static component, a drop in the supply voltage also affects I.sub.OFF. For example, dropping the supply voltage increases the threshold voltage, as in indicated by Equation 2, in which V.sub.t is the operating threshold voltage, V.sub.t0 is the original (inherent) threshold voltage, “dibl” is the drain induced barrier lowering, and V.sub.dd is the supply voltage.
Vt=Vt0−dibl*Vdd Equation 2
Equation 2 indicates that as the supply voltage decreases, the threshold voltage V.sub.t, increases. Analysis of the leakage current is quite complex is it comprises several components: off-state sub-threshold leakage, gate direct tunneling leakage, and source/drain junction leakage currents. However, increases in V.sub.t, in turn, decrease the leakage current (I.sub.OFF), as the leakage current is exponential in V.sub.t, and is therefore, by Equation 2, exponential in the supply voltage, approximately doubling for each 0.3 Volt increase in V.sub.dd. Thus, it is desirable to decrease the supply voltage along with the operating frequency to conserve power.
However, the increase in V.sub.t negatively impacts maximum operating frequency. In summary, dropping the supply voltage increases the effective threshold voltage, which drops I.sub.ON, which drops maximum operating frequency. The effect of dropping the supply voltage on V.sub.t has already been discussed. Equation 3 demonstrates a relationship between V.sub.t and I.sub.ON for a transistor in saturation
ION=VSATCoxW(Vgs−Vt−Vdsat) Equation 3
In Equation 3, v.sub.SAT is the saturation velocity, V.sub.gs is the gate to source voltage, C.sub.ox is the capacitance per unit area of the gate-to-channel capacitor, W is channel width, and V.sub.dsat is the saturation voltage. While equation 3 describes a short channel device, the present invention is not limited to short channel devices.
From Equation 3 it is clear that I.sub.ON drops rapidly as V.sub.t is increased. This, in turn, reduces the maximum frequency of the circuit. The maximum frequency may be approximated by Equation 4, in which C is the load capacitance, V.sub.dd is the power supply, and I.sub.ON is the transistor's drain to source current in saturation.
fmax∝ION/(C*Vdd) Equation 4
In one embodiment of the present invention, the transistors are fabricated with a very low V.sub.t. For example, the V.sub.t curve would be far to the left in
Body-biasing may also be used to move to a curve further to the left in
Embodiments of the present invention determine an appropriate supply voltage and threshold voltage for a target operating frequency while conserving power. The target operating frequency may be based on circuit utilization (e.g., processor utilization). As the previous discussion explains, extra power can be conserved by dropping the supply voltage, but this may not be dropped too low or the circuit will not be able to meet the target operating frequency. Moreover, V.sub.t affects both power consumption and f.sub.max.
The supply voltage value and body-biasing values are input to conversion circuitry 504 for converting those values into analog signals to be input to the circuit 502 under modification. Those of ordinary skill in the art are able to appropriately apply these values to the circuit. The target frequency (F.sub.tar,) may also be applied to the circuit 502. This may be the exact value input to the calculation block and hence does not have to be modified therein. However, embodiments do provide for running the circuit 502 at a different frequency than the target frequency, if, for example, the calculation frequency determines that another frequency is more appropriate. Those of ordinary skill in the art are able to modify the circuit's frequency.
From time to time, the system 500 measures I.sub.OFF with the I.sub.OFF measure block 508 from one or more transistors in the circuit 502 and uses that value to adjust the calculation of appropriate values. Rather than measuring I.sub.OFF, embodiments of the present invention may measure another parameter, such as, for example, temperature. This parameter may then be fed to the calculation block 506. Thus, the circuit has a means of compensating for both processing and environmental variations in the transistors. Measurements may be performed at multiple locations in the circuit 502 to handle variations between transistors, if desired. Thus, there may be separate V.sub.pw and V.sub.nw signals sent to different regions of the circuit 502.
In one implementation, the calculation is performed as a table lookup. Exemplary tables are illustrated in
As the CMS 610 has knowledge of the instructions currently being executed and those to be executed, it is able to very effectively determine current processor utilization and to predict future utilization. Thus, it is able to determine at what frequency the processor needs to execute over a time span. The CMS 610 feeds this target frequency to the calculation block 506, which determines appropriate circuit parameters as discussed above.
An embodiment of the present invention is a method of enhancing a characteristic of a circuit, using software-controlled body-biasing. At least some steps of process 800 of
In step 820, transistor body-biasing values are determined for the target parameter in order to enhance a characteristic of a circuit. The characteristic to be enhanced may be power consumption, which is enhanced for the given input parameter. The determination may involve table lookup or a calculation on-the-fly based on a mathematical relationship. Depending on what the input parameter was, various embodiments may also calculate a V.sub.dd or a maximum operating frequency. Other parameters may be determined as well.
The determination may involve predicting activity of the circuit. For example, an operating frequency, such as a maximum operating frequency may be predicted. Alternatively, a leakage current in the circuit can be predicted. The prediction can be made by the CMS and may be used to determine a future threshold value.
The determination in step 820 may involve balancing various considerations, which may be difficult or impossible to perform without the use of software. The balancing of the various considerations may be stated in many ways and no such expression contained in this description is limiting. As described herein, selecting a body-bias value alters V.sub.t, which in turn alters both I.sub.ON and I.sub.OFF. As maximum operating frequency depends on I.sub.ON, and quiescent power consumption depends on I.sub.OFF, these factors are balanced given the current use of the circuit (e.g., the frequency at which transistors are switching). Moreover, the value of V.sub.dd also affects the balancing process. In one embodiment, changes in power consumption due to changes in I.sub.OFF (e.g., from changes in V.sub.t) are compared to changes in power consumption due to changes in V.sub.dd (e.g., necessary to achieve f.sub.max on a given V.sub.t curve in
In step 830, bodies of transistors in the circuit are body-biased in order to establish a V.sub.t that is desired. This may be either back-biasing or forward-biasing. Furthermore, depending on the embodiment being practiced, the supply voltage (V.sub.dd) may be altered with the newly determined value, or the operating frequency may be changed with a determined frequency. When using software controlled body-biasing, the step of changing the threshold voltage by applying a new body-bias may be intelligently applied by determining that it is better to not change the body-bias at this time. For example, changing the body-bias consumes some measure of power due to, for example, capacitive charging. If the trade off between the power saved by the change in threshold voltage is outweighed by the power consumed making the change, the change can be foregone.
An embodiment of the present invention is a computer-implemented method of enhancing a characteristic of a circuit, using software-controlled body-biasing. At least some steps of process 900 of
In step 920, a target frequency is received. The target frequency may be determined by CMS or the like and may be based on utilization of a processor whose operating characteristics are being controlled by process 900.
In step 930, a supply voltage and transistor body-biasing values are determined for the target frequency. Moreover, the leakage current measured in step 910 may be factored into the determination. The resulting values may serve to enhance power consumption. The determination may involve table lookup or calculation on-the-fly. The determination in step 930 may involve balancing various considerations, which may be difficult or impossible to perform without the use of software. Based on the comparison, appropriate values for V.sub.dd, V.sub.pw, and V.sub.nw are selected.
In step 930, the determined supply voltage and body-bias values are applied to the circuit. The body-biasing establishes a desired V.sub.t in the circuit. In this fashion, the circuit may be run at a desired frequency with minimum power consumption.
With reference still to
The preferred embodiment of the present invention, a method and system for software controlled body-biasing, is thus described. While the present invention has been described in particular embodiments, it should be appreciated that the present invention should not be construed as limited by such embodiments, but rather construed according to the below claims.
Burr, James B., Ditzel, David R.
Patent | Priority | Assignee | Title |
Patent | Priority | Assignee | Title |
5594371, | Jun 28 1994 | Nippon Telegraph and Telephone Corporation | Low voltage SOI (Silicon On Insulator) logic circuit |
5689144, | May 15 1996 | Siliconix Incorporated | Four-terminal power MOSFET switch having reduced threshold voltage and on-resistance |
6023641, | Apr 29 1998 | Medtronic, Inc.; Medtronic, Inc | Power consumption reduction in medical devices employing multiple digital signal processors |
6034444, | Feb 18 1997 | NEC Corporation; FUJI ELECTRIC CO , LTD | Power supply system |
6035407, | Aug 14 1995 | HEWLETT-PACKARD DEVELOPMENT COMPANY, L P | Accomodating components |
6048746, | Jun 08 1998 | Oracle America, Inc | Method for making die-compensated threshold tuning circuit |
6087892, | Jun 08 1998 | Oracle America, Inc | Target Ion/Ioff threshold tuning circuit and method |
6091283, | Feb 24 1998 | Sun Microsystems, Inc. | Sub-threshold leakage tuning circuit |
6218708, | Feb 25 1998 | Oracle America, Inc | Back-biased MOS device and method |
6218892, | Jun 20 1997 | Intel Corporation | Differential circuits employing forward body bias |
6303444, | Oct 19 2000 | Oracle America, Inc | Method for introducing an equivalent RC circuit in a MOS device using resistive wells |
6484265, | Dec 30 1998 | Sony Corporation of America | Software control of transistor body bias in controlling chip parameters |
6489224, | May 31 2001 | Oracle America, Inc | Method for engineering the threshold voltage of a device using buried wells |
6621325, | Sep 18 2001 | XILINX, Inc.; Xilinx, Inc | Structures and methods for selectively applying a well bias to portions of a programmable device |
6777978, | Sep 18 2001 | XILINX, Inc. | Structures and methods for selectively applying a well bias to portions of a programmable device |
6967522, | Apr 17 2001 | Massachusetts Institute of Technology | Adaptive power supply and substrate control for ultra low power digital processors using triple well control |
20020029352, | |||
20020171468, | |||
20020173825, |
Executed on | Assignor | Assignee | Conveyance | Frame | Reel | Doc |
Mar 13 2003 | DITZEL, DAVID R | Transmeta Corporation | ASSIGNMENT OF ASSIGNORS INTEREST SEE DOCUMENT FOR DETAILS | 029299 | /0608 | |
Mar 13 2003 | BURR, JAMES B | Transmeta Corporation | ASSIGNMENT OF ASSIGNORS INTEREST SEE DOCUMENT FOR DETAILS | 029299 | /0608 | |
Jan 27 2009 | Transmeta Corporation | TRANSFORMER ACQUISITION LLC | MERGER SEE DOCUMENT FOR DETAILS | 031812 | /0928 | |
Jan 27 2009 | Transmeta Corporation | TRANSMETA LLC | CORRECTIVE ASSIGNMENT TO CORRECT THE RECEIVING PARTY IES NAME TRANSFORMER ACQUISITION LLC PREVIOUSLY RECORDED ON REEL 031812 FRAME 0928 ASSIGNOR S HEREBY CONFIRMS THE RECEIVING PARTY AS TRANSMETA LLC | 031947 | /0084 | |
Jan 28 2009 | TRANSMETA LLC | Intellectual Venture Funding LLC | ASSIGNMENT OF ASSIGNORS INTEREST SEE DOCUMENT FOR DETAILS | 031813 | /0069 | |
Aug 27 2015 | Intellectual Venture Funding LLC | Intellectual Ventures Holding 81 LLC | MERGER SEE DOCUMENT FOR DETAILS | 036711 | /0160 | |
Aug 27 2015 | INTELLECTUAL VENTURES FUNDING LLC | Intellectual Ventures Holding 81 LLC | CORRECTIVE ASSIGNMENT TO CORRECT THE ASSIGNOR S NAME PREVIOUSLY RECORDED AT REEL: 036711 FRAME: 0160 ASSIGNOR S HEREBY CONFIRMS THE MERGER | 036797 | /0356 |
Date | Maintenance Fee Events |
Jul 25 2016 | M1551: Payment of Maintenance Fee, 4th Year, Large Entity. |
Jul 14 2020 | M1552: Payment of Maintenance Fee, 8th Year, Large Entity. |
Sep 23 2024 | REM: Maintenance Fee Reminder Mailed. |
Date | Maintenance Schedule |
Feb 05 2016 | 4 years fee payment window open |
Aug 05 2016 | 6 months grace period start (w surcharge) |
Feb 05 2017 | patent expiry (for year 4) |
Feb 05 2019 | 2 years to revive unintentionally abandoned end. (for year 4) |
Feb 05 2020 | 8 years fee payment window open |
Aug 05 2020 | 6 months grace period start (w surcharge) |
Feb 05 2021 | patent expiry (for year 8) |
Feb 05 2023 | 2 years to revive unintentionally abandoned end. (for year 8) |
Feb 05 2024 | 12 years fee payment window open |
Aug 05 2024 | 6 months grace period start (w surcharge) |
Feb 05 2025 | patent expiry (for year 12) |
Feb 05 2027 | 2 years to revive unintentionally abandoned end. (for year 12) |